Answer:
195 cubic inches
Step-by-step explanation:
A fishing tackle box is 13 inches long, 6 inches wide, and inches high. What is the volume of the tackle box? SOLUTION: The volume of the tackle box is 195 cubic inches.
Solution:
Given:
A table representing an exponential function.
The x-values represent the terms, while the y-values represent the numbers.
The common ratio is gotten from the numbers (y-values).
The formula for common ratio is given by;
![\begin{gathered} r=\frac{present\text{ term}}{preceed\text{ ing term}} \\ \\ \text{Hence,} \\ r=\frac{108}{36}=\frac{36}{12}=\frac{12}{4}=\frac{4}{1.33\ldots}=\frac{1.33\ldots.}{0.44\ldots} \\ r=3 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20r%3D%5Cfrac%7Bpresent%5Ctext%7B%20term%7D%7D%7Bpreceed%5Ctext%7B%20ing%20term%7D%7D%20%5C%5C%20%20%5C%5C%20%5Ctext%7BHence%2C%7D%20%5C%5C%20r%3D%5Cfrac%7B108%7D%7B36%7D%3D%5Cfrac%7B36%7D%7B12%7D%3D%5Cfrac%7B12%7D%7B4%7D%3D%5Cfrac%7B4%7D%7B1.33%5Cldots%7D%3D%5Cfrac%7B1.33%5Cldots.%7D%7B0.44%5Cldots%7D%20%5C%5C%20r%3D3%20%5Cend%7Bgathered%7D)
Therefore, the common ratio is 3.
Answer:
(1) 820
(2) 1920
Step-by-step explanation:
(1) solving 20 x 41, using associative property.
20 * 41 = (2 x 10) x 41 = 2 x (10 x 41)
= 20 x 41 = 2 x 410
= 820 = 820
(2) distribute 32 as 30 + 2 and solve.
60 x 32
= 60 x (30 + 2) = 60(30) + 60(2)
= 1800 + 120
= 1920
The volume of the sphere is 267. 95 cm³.
<h2>Given </h2>
The radius of the sphere is 4cm.
<h3>What is the volume of sphere?</h3>
The volume of a sphere is the three-dimensional space occupied by a sphere.
The volume of the sphere is determined by the following formula;
![\rm Volume = \dfrac{4}{3} \pi r^3](https://tex.z-dn.net/?f=%5Crm%20Volume%20%3D%20%5Cdfrac%7B4%7D%7B3%7D%20%5Cpi%20r%5E3)
Where r is the radius of the sphere.
Substitute all the values in the formula;
![\rm Volume = \dfrac{4}{3} \pi r^3\\\\\rm Volume = \dfrac{4}{3} \times (3.14) \times 4^3\\\\Volume = 4 \times 1.04 \times 64\\\\Volume = 267.95\ cm ^3](https://tex.z-dn.net/?f=%5Crm%20Volume%20%3D%20%5Cdfrac%7B4%7D%7B3%7D%20%5Cpi%20r%5E3%5C%5C%5C%5C%5Crm%20Volume%20%3D%20%5Cdfrac%7B4%7D%7B3%7D%20%5Ctimes%20%283.14%29%20%5Ctimes%204%5E3%5C%5C%5C%5CVolume%20%3D%204%20%5Ctimes%201.04%20%5Ctimes%2064%5C%5C%5C%5CVolume%20%3D%20267.95%5C%20cm%20%5E3)
Hence, the volume of the sphere is 267. 95 cm³.
To know more about Volume of Sphere click the link given below.
brainly.com/question/369459
Answer: multiply 10 to both terms and subrtact products
Step-by-step explanation:
10(5 - 2x)
multipy 10 to both terms
50 20x
subtract products
50 - 20x